PERIODIC AND SUBHARMONIC SOLUTIONS FOR DUFFING EQUATION WITH A SINGULARITY

被引：33
|
作者：
Cheng, Zhibo [1 ]
Ren, Jingli [1 ]
机构：
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2012年 / 32卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Duffing equation; harmonic and subharmonic solution; superlinear; singularity; Poincare-Birkhoff twist theorem; 2ND-ORDER DIFFERENTIAL-EQUATIONS; MULTIPLICITY; EXISTENCE;
D O I：
10.3934/dcds.2012.32.1557
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the existence and multiplicity of periodic and subharmonic solutions for a superlinear Duffing equation with a singularity. In this manner, various preceding theorems are improved and sharpened. Our proof is based on a generalized version of the Poincare-Birkhoff twist theorem.
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页码：1557 / 1574
页数：18
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